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Recent dynamical models, based on the seminal work of V. Hill, allow topredict the muscular response to functional electrostimulation (FES), in theisometric and non-isometric cases. The physical controls are modeled as Diracpulses and lead to a sampled-data control system, sampling corresponding totimes of the stimulation, where the output is the muscular force response. Sucha dynamics is suitable to compute optimized controls aiming to produce aconstant force or force strengthening, but is complex for real timeapplications. The objective of this article is to construct a finitedimensional approximation of this response to provide fast optimizing schemes,in particular for the design of a smart electrostimulator formuscularreinforcement or rehabilitation. It is an on-going industrial projectbased on force-fatigue models, validated by experiments.Moreover it opens theroad to application of optimal control to track a reference trajectory in thejoint angular variable to produce movement in the non-isometric models.

Finite Dimensional Approximation to Muscular Response in Force-Fatigue Dynamics using Functional Electrical Stimulation